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lambda calculus

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(computing theory) Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions.

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algebraic system
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Formal calculi such as the lambda calculus and combinatory logic are now studied as idealized programming languages.
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The lambda calculus emerged in his 1936 paper showing the unsolvability of the Entscheidungsproblem.
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The lambda calculus influenced the design of the LISP programming language and functional programming languages in general.
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MATLAB supports elements of lambda calculus by introducing function handles, or function references, which are implemented either in .m files or anonymous/nested functions.
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Church and Turing then showed that the lambda calculus and the Turing machine used in Turing's halting problem were equivalent in capabilities, and subsequently demonstrated a variety of alternative "mechanical processes for computation."
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A more mathematically oriented definition with a similar "universal" nature was introduced by Alonzo Church, whose work on lambda calculus intertwined with Turing's in a formal theory of computation known as the Church–Turing thesis.
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